Least Common Multiple (LCM) of 110 and 181
The least common multiple (LCM) of 110 and 181 is 19910.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 110 and 181?
First, calculate the GCD of 110 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 110 ÷ 181 = 0 remainder 110 |
| 2 | 181 ÷ 110 = 1 remainder 71 |
| 3 | 110 ÷ 71 = 1 remainder 39 |
| 4 | 71 ÷ 39 = 1 remainder 32 |
| 5 | 39 ÷ 32 = 1 remainder 7 |
| 6 | 32 ÷ 7 = 4 remainder 4 |
| 7 | 7 ÷ 4 = 1 remainder 3 |
| 8 | 4 ÷ 3 = 1 remainder 1 |
| 9 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 24 and 186 | 744 |
| 126 and 188 | 11844 |
| 46 and 53 | 2438 |
| 143 and 23 | 3289 |
| 74 and 69 | 5106 |